Select the correct answerA letter is taken out at random from ‘ASSISTANT’ and another is taken out from “STATISTICS”. The probability that they are the same letters is:Options19/13619/903/96None

To solve this problem, we need to calculate the total number of letters in each word and the number of each specific letter in each word.

1. The word 'ASSISTANT' has 9 letters in total. The distribution of letters is as follows: A-2, S-2, I-1, T-2, N-1.
2. The word 'STATISTICS' has 11 letters in total. The distribution of letters is as follows: S-3, T-3, A-1, I-2, C-1.

The probability of drawing the same letter from both words is the sum of the probabilities of drawing each letter:

• The probability of drawing an 'A' from both words is (2/9)*(1/11) = 2/99.
• The probability of drawing an 'S' from both words is (2/9)*(3/11) = 6/99 = 2/33.
• The probability of drawing an 'I' from both words is (1/9)*(2/11) = 2/99.
• The probability of drawing a 'T' from both words is (2/9)*(3/11) = 6/99 = 2/33.

Adding these probabilities together gives us (2/99) + (2/33) + (2/99) + (2/33) = 4/99 + 4/33 = 12/99 + 12/33 = 24/99 = 8/33.

So, the correct answer is None of the given options.